The General Expression of the sequence Defined by U_( n+1) =a+b/U_ n and Its Application;

Study of the Methods in Solving General Terms Through the Sequence Given by Recursion Relations;

Super and Inferior Limits of the Sequences;

The L Hospitcl rule in sequence of number;

Sometimes,the problem of sequence of number summation is a little troublesome,even there is no way to deal with it.

The essay puts forward a few methods to figure the limit of sequence of number by giving examples.

In this paper,the weight of a subsequence for a number sequence is defined,then a theorem,that is,an arithmetic mean sequence for a sequence with finite partition corre spond to convergent subsequence convergence to a li near combination of subsequence limit and the coefficient are the weight of a subsequence,is given.

The thesis firstly gives an introduction to Stolz theorem which in style and style,then popularizes it from the situation of number sequence to the situation of function.

According to the research of the sides and the integer in a right triangle, this thesis puts forward the subject on the numbers of triangles on condition that the hypotenuse is the odd prime number and the right-angle side is the integer, and then makes a demonstration for it by means of the formula 2n+1=p, and number sequence.

On the Nature of Fibonacci Series;

Several Substitution Method in the Series Calculation;

This paper discusses one new kind of algebraic operation on series and its character.

Some interesting sequences and their combinatorial identities;

This article discusses the contents and the relations and conversion of series, sequences and integrals.